AISCAISC 360-22
Formulas

Formulas: Limitations

PDF page 498 · AISC 360-22

Equation C-I2-1

Walls of rectangular filled sections may be susceptible to deformations during casting if a large hydrostatic pressure is exerted. These deformations will affect the location and initiation of local buckling. To control these deformations, the following serviceability limits are suggested by Leon et al. (2011):

σmax=max{(2hcbc+4hc)phc2t2,13(3bc+4hcbc+4hc)phc2t2}0.5Fy\sigma_{\max }=\max \left\{\left(\frac{2 h_{c}}{b_{c}+4 h_{c}}\right) \frac{p h_{c}^{2}}{t^{2}}, \frac{1}{3}\left(\frac{3 b_{c}+4 h_{c}}{b_{c}+4 h_{c}}\right) \frac{p h_{c}^{2}}{t^{2}}\right\} \leq 0.5 F_{y}

Equation C-I2-2

δmax=132(5bc+4hcbc+4hc)phc4Est3L2,000\delta_{\max }=\frac{1}{32}\left(\frac{5 b_{c}+4 h_{c}}{b_{c}+4 h_{c}}\right) \frac{p h_{c}^{4}}{E_{s} t^{3}} \leq \frac{L}{2,000}

where

bcb_{c} and hch_{c} are, respectively, the shorter and the longer inner widths of the rectangular cross section (hc=h2t;bc=b2t);t\left(h_{c}=h-2 t ; b_{c}=b-2 t\right) ; t is the thickness of wall; bb and hh are, respectively, the shorter and longer overall outside widths of the rectangular cross section; EsE_{s} is the modulus of elasticity of steel; LL is the unbraced member length of the steel encasement; and pp is the hydrostatic pressure. If either the corresponding stresses or deformations in rectangular filled composite cross sections exceed the limits given in Equations C-I2-1 or C-I2-2, it is recommended that external supports be added during casting.

Formula 3

where bcb_{c} and hch_{c} are, respectively, the shorter and the longer inner widths of the rectangular cross section (hc=h2t;bc=b2t);t\left(h_{c}=h-2 t ; b_{c}=b-2 t\right) ; t is the thickness of wall; bb and hh are, respectively, the shorter and longer overall outside widths of the rectangular cross section; EsE_{s} is the modulus of elasticity of steel; LL is the unbraced member length of the steel encasement; and pp is the hydrostatic pressure.

(hc=h2t;bc=b2t);t\left(h_{c}=h-2 t ; b_{c}=b-2 t\right) ; t

Found in

On this page